72085601925 has 36 divisors (see below), whose sum is σ = 136708231140. Its totient is φ = 36184143360.

The previous prime is 72085601923. The next prime is 72085601957. The reversal of 72085601925 is 52910658027.

72085601925 is a `hidden beast` number, since 72 + 0 + 8 + 560 + 19 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 570540996 + 71515060929 = 23886^2 + 267423^2 .

It is not a de Polignac number, because 72085601925 - 2¹ = 72085601923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72085601923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9419130 + ... + 9426779.

It is an arithmetic number, because the mean of its divisors is an integer number (3797450865).

Almost surely, 2^72085601925 is an apocalyptic number.

72085601925 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72085601925 is a deficient number, since it is larger than the sum of its proper divisors (64622629215).

72085601925 is a wasteful number, since it uses less digits than its factorization.

72085601925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18845942 (or 18845934 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 72085601925 in words is "seventy-two billion, eighty-five million, six hundred one thousand, nine hundred twenty-five".